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Finding the Fourth Proportional to 686.06, 947.19 and 476.17

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Solution

The fourth proportional to 686.06, 947.19 and 476.17 is: 657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.06 : 947.19 = 476.17 : x
  2. Step 2: Convert to fraction form
    686.06/947.19 = 476.17/x
  3. Step 3: Cross multiply
    686.06x = 947.19 × 476.17
  4. Step 4: Simplify right side
    686.06x = 451,022.88
  5. Step 5: Solve for x
    x = 451,022.88/686.06
  6. Step 6: Final answer
    x = 657.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.